Atkin-Lehner |
2- 3+ 13- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
11388a |
Isogeny class |
Conductor |
11388 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-177106176 = -1 · 28 · 36 · 13 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 1 -2 0 13- 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20,648] |
[a1,a2,a3,a4,a6] |
Generators |
[14:54:1] |
Generators of the group modulo torsion |
j |
-3631696/691821 |
j-invariant |
L |
3.7864117820266 |
L(r)(E,1)/r! |
Ω |
1.4729749416766 |
Real period |
R |
0.42843134155388 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
45552o1 34164e1 |
Quadratic twists by: -4 -3 |